Given numbers are 823,105,249

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 823,105,249 is 7172445.

Find LCM of 823,105,249 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 823 x 35 x 83 = 7172445

Therefore, the lowest common multiple of 823,105,249 is 7172445.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

823 x 105 x 249 = 21517335

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

823 : 1, 823

105 : 1, 3, 5, 7, 15, 21, 35, 105

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,105,249, is 1.

Now, the common factors can be found like this.

823:823

105:3x 5x 7

249:3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 21517335/(1x3)

LCM = 21517335/3

LCM = 7172445

Thus, we can understand that the LCM of 823,105,249 is 7172445.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 690, 193, 372
• LCM of 802, 852, 323
• LCM of 962, 260, 359
• LCM of 205, 855, 687
• LCM of 628, 447, 342

1. What is the LCM of 823, 105, 249?

Answer: LCM of 823, 105, 249 is 7172445.

2. How to calculate the LCM of 823, 105, 249?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 823, 105, 249.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.